Given: Evan illustrates 1/6 of a children's book of paper in 1/3 hours.
Required: To determine how long Evan will take to illustrate an entire page.
Step-by-step explanation: Let x denotes the length of the complete page. Then according to the question, the time taken to illustrate 1/6th of x is 1/3 hours, i.e.
![x*(1)/(6)=(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/15dddts9gwf592ihsuaoz87efu98j7sxiy.png)
We need to determine how long Evan will take to illustrate the complete page. So the time taken to illustrate x is-
![\begin{gathered} x=(1)/(3)*6 \\ =2\text{ hours} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/t9wy4zrufrgmq91zi9mmocv1lkmrzuu9hc.png)
Final Answer: It will take Evan 2 hours to illustrate an entire page.